On Konopelchenko's representation for surfaces in 4 dimensions

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The purpose of this short note is to relate a representation formula due to the Author and P. Romon for Lagrangian surfaces (see math.DG/0009202) to a more general Weierstrass representation type formula found by Konopelchenko for surfaces in 4-dimensional space (see math.DG/9807129). Simplifications are pointed out.
4 pages

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Differential Geometry, Analysis of PDEs, 53C42; 53D12; 49Q10; 53A04

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http://salesiana.dossiersoluciones.com/handle/123456789/61271

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104101
 http://arxiv.org/abs/math/0104101

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arXiv